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Finding the Fourth Proportional to 17,085.59, 23,578.14 and 9,531.71

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Solution

The fourth proportional to 17,085.59, 23,578.14 and 9,531.71 is: 13,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,085.59 : 23,578.14 = 9,531.71 : x
  2. Step 2: Convert to fraction form
    17,085.59/23,578.14 = 9,531.71/x
  3. Step 3: Cross multiply
    17,085.59x = 23,578.14 × 9,531.71
  4. Step 4: Simplify right side
    17,085.59x = 224,740,078.10
  5. Step 5: Solve for x
    x = 224,740,078.10/17,085.59
  6. Step 6: Final answer
    x = 13,153.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.